Magma V2.22-2 Sun Aug 9 2020 22:19:14 on zickert [Seed = 2263484386] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/11_tetrahedra/L13n8246__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n8246 degenerate_solution 0.00009370 oriented_manifold CS_unknown 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 0132 0132 0132 1 1 1 2 0 0 1 -1 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 -3 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.500003165090 -0.000000088997 0 0 4 3 0132 0132 0132 0321 1 1 2 1 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.999987339720 0.000001438183 5 6 4 0 0132 0132 1023 0132 1 1 2 2 0 0 1 -1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 1 0 -1 0 1 2 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999999999999 0.000000000000 7 1 0 4 0132 0321 0132 2031 1 1 2 1 0 0 1 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 -2 3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.999995718800 0.000000196853 8 3 2 1 0132 1302 1023 0132 1 1 1 2 0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 2 0 -2 0 -3 3 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500001062347 0.000000167370 2 9 7 7 0132 0132 0213 0132 0 1 2 2 0 -1 0 1 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 -2 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000066382 0.000001616024 10 2 10 10 0132 0132 1023 1023 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.000012775006 -0.000000843221 3 5 5 8 0132 0213 0132 0132 0 1 1 2 0 0 -1 1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -18877.684633043809 615627.835476921289 4 9 7 9 0132 0321 0132 0132 0 1 2 1 0 1 -1 0 -1 0 0 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -2 0 0 2 1 -1 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000049765 0.000001622828 10 5 8 8 1023 0132 0132 0321 0 1 2 2 0 1 0 -1 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -2 2 0 -1 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000066382 0.000001616020 6 9 6 6 0132 1023 1023 1023 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.999995735880 0.000000772955 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_0011_0' : d['c_0011_0'], 'c_0011_1' : - d['c_0011_0'], 'c_0101_0' : - d['c_0011_3'], 'c_0110_1' : - d['c_0011_3'], 'c_0110_2' : - d['c_0011_3'], 'c_0011_3' : d['c_0011_3'], 'c_0101_5' : - d['c_0011_3'], 'c_0011_7' : - d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_1'], 'c_0101_8' : d['c_0101_1'], 'c_1001_0' : d['c_0011_4'], 'c_1010_1' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1001_6' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_8' : - d['c_0011_4'], 'c_0110_6' : d['c_0011_4'], 'c_0101_10' : d['c_0011_4'], 'c_1010_10' : d['c_0011_4'], 'c_0110_9' : d['c_0011_4'], 'c_1100_0' : - d['c_1001_1'], 'c_1100_2' : - d['c_1001_1'], 'c_1100_3' : - d['c_1001_1'], 'c_1100_1' : d['c_1001_1'], 'c_1100_4' : d['c_1001_1'], 'c_1010_0' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_3' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_0011_2' : d['c_0011_10'], 'c_0011_5' : - d['c_0011_10'], 'c_0011_6' : - d['c_0011_10'], 'c_0011_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0110_3' : d['c_0101_2'], 'c_0101_7' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0110_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_2'], 'c_1001_2' : d['c_0101_4'], 'c_1010_6' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0101_6' : d['c_0101_4'], 'c_0110_10' : d['c_0101_4'], 'c_1001_10' : d['c_0101_4'], 'c_0101_9' : d['c_0101_4'], 'c_1010_8' : d['c_1001_5'], 'c_1010_5' : d['c_1001_5'], 'c_1001_9' : d['c_1001_5'], 'c_1001_5' : d['c_1001_5'], 'c_1010_9' : d['c_1001_5'], 'c_1001_7' : d['c_1001_5'], 'c_1100_5' : d['c_1001_8'], 'c_1010_7' : d['c_1001_8'], 'c_1100_7' : d['c_1001_8'], 'c_1001_8' : d['c_1001_8'], 'c_1100_8' : d['c_1001_8'], 'c_1100_9' : d['c_1001_8'], 'c_1100_6' : - d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_9' : d['1'], 's_3_8' : d['1'], 's_1_8' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_2_6' : - d['1'], 's_0_6' : - d['1'], 's_3_5' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_0_4' : d['1'], 's_3_3' : d['1'], 's_0_3' : d['1'], 's_2_2' : - d['1'], 's_1_2' : d['1'], 's_0_2' : d['1'], 's_3_1' : d['1'], 's_2_1' : - d['1'], 's_3_0' : d['1'], 's_2_0' : - d['1'], 's_1_0' : d['1'], 's_0_0' : - d['1'], 's_0_1' : - d['1'], 's_1_1' : d['1'], 's_3_2' : - d['1'], 's_2_3' : d['1'], 's_3_4' : - d['1'], 's_1_3' : d['1'], 's_0_5' : d['1'], 's_1_6' : d['1'], 's_2_4' : - d['1'], 's_0_7' : d['1'], 's_1_4' : d['1'], 's_0_8' : d['1'], 's_1_9' : d['1'], 's_1_7' : d['1'], 's_2_7' : d['1'], 's_0_10' : - d['1'], 's_2_10' : - d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_3_9' : d['1'], 's_2_9' : d['1'], 's_1_10' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.020 Status: Saturating ideal ( 1 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 4 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 11 ] Status: Computing RadicalDecomposition Time: 0.000 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.300 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0101_1, c_0101_2, c_0101_4, c_1001_1, c_1001_5, c_1001_8, c_1100_10 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_4^2 - 49/36*c_0011_10 - 2/3*c_0101_4 + 1/9, c_0011_10*c_1001_8 - 6/7*c_0101_4 + 2/7, c_0101_4*c_1001_8 - 1/3*c_1001_8 - 7/6, c_1001_8^2 + 4*c_1001_8 + 9/2*c_1100_10 + 25/4, c_0011_10*c_1100_10 + 25/18*c_0011_10 + 16/21*c_0101_4 - 2/63, c_0101_4*c_1100_10 + 25/18*c_0101_4 + 7/27*c_1001_8 - 1/3*c_1100_10 + 31/54, c_0011_0 - 1, c_0011_3 - 2/7*c_0101_4 + 3/7, c_0011_4 - 1/7*c_0101_4 - 2/7, c_0101_1 - 1, c_0101_2 - 4/7*c_0101_4 - 1/7, c_1001_1 - 1/2, c_1001_5 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1100_10" ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... Status: Computing Groebner basis... Time: 0.000 Status: Saturating ideal ( 1 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 1 ] ... Time: 0.000 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.000 ==WITNESSES=FOR=COMPONENTS=BEGINS== ==WITNESSES=BEGINS== ==WITNESS=BEGINS== Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0101_1, c_0101_2, c_0101_4, c_1001_1, c_1001_5, c_1001_8, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 64/1849*c_1001_8 - 84/1849, c_0011_3 + 4/129*c_1001_8 + 59/129, c_0011_4 + 2/129*c_1001_8 - 35/129, c_0101_1 - 1, c_0101_2 + 8/129*c_1001_8 - 11/129, c_0101_4 + 14/129*c_1001_8 + 13/129, c_1001_1 - 1/2, c_1001_5 - 1, c_1001_8^2 + 4*c_1001_8 + 43/4, c_1100_10 - 1 ] ==WITNESS=ENDS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS== 0 ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 0.400 seconds, Total memory usage: 32.09MB